Question

Sin30 + tan45 - cosec60 / Sec30 + cos60 + cot45.Evaluate it.

Answer 1

Solve this as shown in the attachment.

Answer 2

HELLO DEAR,

we know:- cosec(90 - x) = secx
sin30 = 1/2 , tan45 = 1 = cot45

now, sin30 + tan45 - cosec60/sec30 + cos60 + cot45

⇒sin30 + tan45 - cosec(90 - 30)/sec30 + cos60 + cot45

⇒sin30 + tan45 - sec30/sec 30 + cos60 + cot45

⇒sin30 + tan45 + cot45 + 1/2 - 1

⇒1/2 + 1 + 1 - 1 + 1/2

⇒1/2 + 1 + 1/2

⇒2/2 + 1

⇒ 1 + 1

⇒ 2

I HOPE ITS HELP YOU DEAR,
THANKS